Search a number
-
+
131102235205320 = 23352347500809857
BaseRepresentation
bin11101110011110010011110…
…001010001001111011001000
3122012012020210012000020202210
4131303302132022021323020
5114140434334203032240
61142455311351425120
736420552414313551
oct3563623612117310
9565166705006683
10131102235205320
1138856166a44045
12128545a93851a0
13581cb7046a152
14245354c469328
15102540b3bc780
hex773c9e289ec8

131102235205320 has 64 divisors (see below), whose sum is σ = 410406997173120. Its totient is φ = 33440570138624.

The previous prime is 131102235205273. The next prime is 131102235205327. The reversal of 131102235205320 is 23502532201131.

It is a super-3 number, since 3×1311022352053203 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (131102235205327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23750402169 + ... + 23750407688.

It is an arithmetic number, because the mean of its divisors is an integer number (6412609330830).

Almost surely, 2131102235205320 is an apocalyptic number.

131102235205320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131102235205320 is an abundant number, since it is smaller than the sum of its proper divisors (279304761967800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131102235205320 is a wasteful number, since it uses less digits than its factorization.

131102235205320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47500809894 (or 47500809890 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 131102235205320 its reverse (23502532201131), we get a palindrome (154604767406451).

The spelling of 131102235205320 in words is "one hundred thirty-one trillion, one hundred two billion, two hundred thirty-five million, two hundred five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 47500809857 95001619714 142502429571 190003239428 237504049285 285004859142 380006478856 475008098570 570009718284 712512147855 950016197140 1092518626711 1140019436568 1425024295710 1900032394280 2185037253422 2850048591420 3277555880133 4370074506844 5462593133555 5700097182840 6555111760266 8740149013688 10925186267110 13110223520532 16387779400665 21850372534220 26220447041064 32775558801330 43700745068440 65551117602660 131102235205320